本文将有限覆盖技术应用于颗粒增强复合材料的数值模拟.通过引入数学与物重网格,将有限元的插值域与积分域分别定义在两个不同的覆盖上,即在数学网格上进行插值函数的构造,在物理网格上完成系统能量泛函的积分运算,最后通过覆盖权函数将二者联结在一起.它的优点是单元网格划分随意,不受复杂边界形状和二相材料界面的限制,单元可以是任意形状,是较之于有限元方法更普遍的数值模拟方法.最后给出了有限元网格覆盖颗粒增强复合材料的数值模拟算例,并与现有的方法进行了比较和讨论.
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